Answer:
Marker = $0.50
Pencil = $0.15
Explanation:
The cost of 3 markers and 2 pencils can be represented as 3M + 2P = $1.80.
The cost of 4 markers and 6 pencils can be represented as 4M + 6P = $2.90.
Now that we have our two equations, we can solve for M and P. To do this, we can eliminate one of the variables by multiplying one equation by a constant and adding the two equations together.
For example, if we multiply the first equation by 4 and the second equation by -3, we get:
12M + 8P = $7.20
-12M - 18P = -$8.70
Adding these two equations together, we get:
-10P = -$1.50
Dividing both sides by -10, we get:
P = $0.15
Now that we have found the value of P, we can substitute it back into one of our original equations to find the value of M. If we substitute P = $0.15 into the first equation, we get:
3M + 2($0.15) = $1.80
3M + $0.30 = $1.80
3M = $1.50
M = $0.50
So, the cost of 1 marker is $0.50, and the cost of 1 pencil is $0.15.